10013122112 has 56 divisors (see below), whose sum is σ = 22780288704. Its totient is φ = 4277740032.

The previous prime is 10013122103. The next prime is 10013122181. The reversal of 10013122112 is 21122131001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10013122112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106763 + ... + 177269.

Almost surely, 2^10013122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390144352).

10013122112 is an abundant number, since it is smaller than the sum of its proper divisors (12767166592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10013122112 is an equidigital number, since it uses as much as digits as its factorization.

10013122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70843 (or 70833 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10013122112 its reverse (21122131001), we get a palindrome (31135253113).

The spelling of 10013122112 in words is "ten billion, thirteen million, one hundred twenty-two thousand, one hundred twelve".